Removing the concavity of the thick center vortex potentials by fluctuating the vortex profile

Abstract

The thick center vortex model reproduces important aspects of the potentials between static quark sources as seen in lattice Yang-Mills calculations: Both the intermediate distance behavior, governed by Casimir scaling, as well as the long distance behavior, governed by N-ality, are obtained. However, when a fixed vortex profile is used, these two distance regimes do not connect naturally to each other. The transition in general violates concavity constraints on the potential, especially for higher representations of the gauge group. We demonstrate how this issue can be alleviated when the vortex profile is allowed to fluctuate within this simple model.

arXiv comment7 pages, 4 figures

References in corpus (8)

• Casimir scaling of SU(3) static potentials
• Casimir Scaling from Center Vortices: Towards an Understanding of the Adjoint String Tension
• Static SU(3) potentials for sources in various representations
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Potentials between static SU(3) sources in the fat-center-vortices model
• Confinement and the second vortex of the SU(4) gauge group
• Short distance potential and the thick center vortex model
• The effect of fluctuations of the vortex core size on the static potentials evaluated by the thick center vortex model

Cited by in corpus (8)

• Role of the SU($2$) and SU($3$) subgroups in observing confinement in the G($2$) gauge group
• Quark Confinement in Restricted SU(2) Gauge Theory
• The effect of $SU(4)$ group factor in the thick center vortex potentials
• Confinement in G(2) Gauge Theories Using Thick Center Vortex Model and domain structures
• Interaction between multi components vortices at arbitrary distances using a variational method in the Ginzburg-Landau theory
• Domain structures and quark potentials in SU($3$) gauge theory
• $F_4$ , $E_6$ and $G_2$ Exceptional Gauge Groups in Vacuum Domain Structure Model
• Remarks on the Confinement in the $G(2)$ Gauge Theory Using the Thick Center Vortex Model